The TiVO will only connect to a TV. It won't connect to anything else.
Actually The TiVo and V6 will connect fine to a Xbox One's HDMI input and the OneGuide is setup for Virgin Media. As long as you have either the IR thing or a Konnect then the Xbox will change the channel on the TiVo without having to use the remote.
I know both work as I have tried it myself.
200Mb(SH2 SH2AC Hub 3.0), 2 X V6 TV XL, Phone M. 100Mb Business (Hitron Hub).